125346720 has 96 divisors (see below), whose sum is σ = 404091072. Its totient is φ = 32643072.

The previous prime is 125346707. The next prime is 125346769. The reversal of 125346720 is 27643521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17604 + ... + 23676.

It is an arithmetic number, because the mean of its divisors is an integer number (4209282).

Almost surely, 2^125346720 is an apocalyptic number.

125346720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202045536).

125346720 is an abundant number, since it is smaller than the sum of its proper divisors (278744352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125346720 is a wasteful number, since it uses less digits than its factorization.

125346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 125346720 is about 11195.8349398337. The cubic root of 125346720 is about 500.4618665605.

The spelling of 125346720 in words is "one hundred twenty-five million, three hundred forty-six thousand, seven hundred twenty".